Pat the chicken breast dry with a paper towel and cut into uniform 1-inch cubes.
In a medium bowl, toss the chicken cubes with arrowroot starch, sea salt, and black pepper until every piece is lightly and evenly coated.
In a small glass jar or bowl, whisk together the coconut aminos, rice vinegar, honey, tomato paste, minced ginger, and minced garlic to create the sauce.
Heat the olive oil in a large non-stick skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the skillet in a single layer and sear for 5-6 minutes, turning occasionally, until the edges are golden brown and crispy.
Remove the chicken from the pan and set aside on a plate.
Add the diced bell peppers and pineapple chunks to the same skillet, sautéing for 3-4 minutes until the peppers are tender-crisp and the pineapple is slightly caramelized.
Return the chicken to the skillet and pour the prepared sauce over the mixture.
Stir-fry constantly for 1-2 minutes until the sauce bubbles and thickens into a glossy glaze that coats all ingredients.